In triangle ABC, the measure of angle B is two third of the measure of angle A . the measure of angle C is 20° more than the measure of angle A .Find the measures of the three angles
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2
Answer:
A=60
B=40
C=80
Step-by-step explanation:
Let A be x
we know that B is 2/3 of A=x
hence B=2/3x
and,
we know that C is 20 more than A=x
hence C= x+20
now,
A+B+C=180 (sum of all angles in a triangle is 180 degrees)
x + 2/3x + (x+20) =180
8/3x + 20 =180
8/3x =180-20
8/3x=160
x=160x3/8
x=60
now we said in the first step that
A=x=60
B=2/3x=2/3 x 60 =40
C=x+20= 60+20=80
hence
A= 60 DEGREES
B= 40 DEGREES
C= 80 DEGREES
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